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Find the inverse of the matrices by using elementary row transformations: 

\(\begin{bmatrix}2&5\\1&3\end{bmatrix}\)

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Given:- 2 x 2 square matrix

Tip:- Algorithm to find Inverse of a square matrix of ‘n’ order by elementary row transformation

(i) Obtain the square matrix, say A

(ii) Write A = InA

(iii) Perform a sequence of elementary row operation successively on A on the LHS and pre-factor In on the RHS till we obtain the result

In = BA

(iv) Write A-1 = B

Now,

We have,

A = I2A

Where I2 is 2 x 2 elementary matrix

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